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Finding the Fourth Proportional to 106,512, 159,768 and 32,640

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Solution

The fourth proportional to 106,512, 159,768 and 32,640 is: 48,960

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,512 : 159,768 = 32,640 : x
  2. Step 2: Convert to fraction form
    106,512/159,768 = 32,640/x
  3. Step 3: Cross multiply
    106,512x = 159,768 × 32,640
  4. Step 4: Simplify right side
    106,512x = 5,214,827,520
  5. Step 5: Solve for x
    x = 5,214,827,520/106,512
  6. Step 6: Final answer
    x = 48,960

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.